Information on Result #687166
Linear OA(8129, 4096, F8, 37) (dual of [4096, 3967, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8129, 3968, F8, 2, 37) (dual of [(3968, 2), 7807, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8129, 3968, F8, 3, 37) (dual of [(3968, 3), 11775, 38]-NRT-code) | [i] | ||
| 3 | Digital (92, 129, 3968)-net over F8 | [i] | ||
| 4 | Linear OA(8133, 4100, F8, 38) (dual of [4100, 3967, 39]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(8129, 4100, F8, 37) (dual of [4100, 3971, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(8145, 4112, F8, 41) (dual of [4112, 3967, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(8132, 4111, F8, 37) (dual of [4111, 3979, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(8151, 4118, F8, 42) (dual of [4118, 3967, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(8156, 4123, F8, 43) (dual of [4123, 3967, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(8136, 4123, F8, 37) (dual of [4123, 3987, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(8164, 4131, F8, 44) (dual of [4131, 3967, 45]-code) | [i] | ✔ | |
| 12 | Linear OA(8140, 4131, F8, 37) (dual of [4131, 3991, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(8170, 4137, F8, 45) (dual of [4137, 3967, 46]-code) | [i] | ✔ | |
| 14 | Linear OA(8142, 4137, F8, 37) (dual of [4137, 3995, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(8143, 4142, F8, 37) (dual of [4142, 3999, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(8144, 4147, F8, 37) (dual of [4147, 4003, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(8145, 4152, F8, 37) (dual of [4152, 4007, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(8150, 4116, F8, 42) (dual of [4116, 3966, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(8163, 4130, F8, 44) (dual of [4130, 3967, 45]-code) | [i] | ✔ | |
| 20 | Linear OA(8139, 4130, F8, 37) (dual of [4130, 3991, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(8163, 4129, F8, 44) (dual of [4129, 3966, 45]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(8162, 4127, F8, 44) (dual of [4127, 3965, 45]-code) | [i] | ✔ | |
| 23 | Linear OA(8161, 4125, F8, 44) (dual of [4125, 3964, 45]-code) | [i] | ✔ | |
| 24 | Linear OA(8159, 4129, F8, 43) (dual of [4129, 3970, 44]-code) | [i] | ✔ | |
| 25 | Linear OA(8158, 4127, F8, 43) (dual of [4127, 3969, 44]-code) | [i] | ✔ | |
| 26 | Linear OA(8157, 4125, F8, 43) (dual of [4125, 3968, 44]-code) | [i] | ✔ | |
| 27 | Linear OA(8150, 4114, F8, 42) (dual of [4114, 3964, 43]-code) | [i] | ✔ | |
| 28 | Linear OA(8143, 4107, F8, 40) (dual of [4107, 3964, 41]-code) | [i] | ✔ | |
| 29 | Linear OA(8146, 4114, F8, 41) (dual of [4114, 3968, 42]-code) | [i] | ✔ | |
| 30 | Linear OA(8139, 4129, F8, 37) (dual of [4129, 3990, 38]-code) | [i] | ✔ | |
| 31 | Linear OA(8138, 4127, F8, 37) (dual of [4127, 3989, 38]-code) | [i] | ✔ | |
| 32 | Linear OA(8137, 4125, F8, 37) (dual of [4125, 3988, 38]-code) | [i] | ✔ | |